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(IMP_product_TCC1 0
(IMP_product_TCC1-1 nil 3352460519 ("" (assuming-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
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(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(<= const-decl "bool" reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(N formal-const-decl "nat" product_upto nil)
(upto nonempty-type-eq-decl nil nat_types nil)
(integer nonempty-type-from-decl nil integers nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil))
nil))
(int_upto_T_high 0
(int_upto_T_high-1 nil 3352460519 ("" (judgement-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(number nonempty-type-decl nil numbers nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(<= const-decl "bool" reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(N formal-const-decl "nat" product_upto nil)
(int_upto type-eq-decl nil product_upto nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil))
nil))
(nat_is_T_low 0
(nat_is_T_low-1 nil 3352460519
("" (skosimp*)
(("" (inst-cp + "0")
(("1" (inst + "x!1")
(("1" (assert) nil nil) ("2" (assert) nil nil)) nil)
("2" (assert) nil nil))
nil))
nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(N formal-const-decl "nat" product_upto nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(<= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(upto nonempty-type-eq-decl nil nat_types nil)
(x!1 skolem-const-decl "nat" product_upto nil))
nil))
(product_first_ge_TCC1 0
(product_first_ge_TCC1-1 nil 3352460519 ("" (subtype-tcc) nil nil)
nil nil))
(product_first_ge 0
(product_first_ge-1 nil 3352460519
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((product_first formula-decl nil product nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(T_high type-eq-decl nil product nil)
(T_low type-eq-decl nil product nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(<= const-decl "bool" reals nil)
(N formal-const-decl "nat" product_upto nil)
(upto nonempty-type-eq-decl nil nat_types nil))
nil))
(product_last_ge_TCC1 0
(product_last_ge_TCC1-1 nil 3352460519 ("" (subtype-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(number nonempty-type-decl nil numbers nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(<= const-decl "bool" reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(N formal-const-decl "nat" product_upto nil)
(upto nonempty-type-eq-decl nil nat_types nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil))
nil))
(product_last_ge 0
(product_last_ge-1 nil 3352460519
("" (skosimp*) (("" (rewrite "product_last") nil nil)) nil)
((product_last formula-decl nil product nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(T_high type-eq-decl nil product nil)
(T_low type-eq-decl nil product nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(<= const-decl "bool" reals nil)
(N formal-const-decl "nat" product_upto nil)
(upto nonempty-type-eq-decl nil nat_types nil))
nil))
(product_split_ge_TCC1 0
(product_split_ge_TCC1-1 nil 3352460519
("" (skosimp*) (("" (inst + "high!1") (("" (assert) nil nil)) nil))
nil)
((number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(<= const-decl "bool" reals nil)
(N formal-const-decl "nat" product_upto nil)
(upto nonempty-type-eq-decl nil nat_types nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(int_minus_int_is_int application-judgement "int" integers nil))
nil))
(product_split_ge_TCC2 0
(product_split_ge_TCC2-1 nil 3352460519 ("" (subtype-tcc) nil nil)
nil nil))
(product_split_ge 0
(product_split_ge-1 nil 3352460519
("" (skosimp*) (("" (rewrite "product_split") nil nil)) nil)
((product_split formula-decl nil product nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(T_high type-eq-decl nil product nil)
(T_low type-eq-decl nil product nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(<= const-decl "bool" reals nil)
(N formal-const-decl "nat" product_upto nil)
(upto nonempty-type-eq-decl nil nat_types nil))
nil))
(product_0_neg_TCC1 0
(product_0_neg_TCC1-1 nil 3403530936 ("" (subtype-tcc) nil nil) nil
nil))
(product_0_neg 0
(product_0_neg-1 nil 3403530951
("" (skosimp*) (("" (expand "product") (("" (propax) nil nil)) nil))
nil)
((product def-decl "real" product nil)) shostak)))
¤ Dauer der Verarbeitung: 0.20 Sekunden
(vorverarbeitet)
¤
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